Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912ct |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8243480956368 = 24 · 3 · 78 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1459873,-679410166] |
[a1,a2,a3,a4,a6] |
Generators |
[-273322711912972:-257716348821:391580530496] |
Generators of the group modulo torsion |
j |
182793612716032000/4379277 |
j-invariant |
L |
8.5352556272036 |
L(r)(E,1)/r! |
Ω |
0.13734750082111 |
Real period |
R |
20.714502938535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228a3 10416o3 |
Quadratic twists by: -4 -7 |